Neutrino Polarization as a Consequence of Gauge Invariance

TL;DR

This paper explores how gauge invariance influences neutrino polarization, revealing that gauge-invariant spinors lead to polarized neutrinos and explaining the gauge dependence of electromagnetic potentials.

Contribution

It demonstrates the role of gauge-invariant and gauge-dependent spinors in neutrino polarization within the little-group framework for massless particles.

Findings

Gauge-invariant spinors are responsible for neutrino polarization.

Gauge-dependent spinors cause gauge dependence in electromagnetic four-potentials.

Dirac equation involves only gauge-invariant spinors.

Abstract

It is pointed out that there are gauge-dependent and gauge-independent spinors within the little-group framework for internal space-time symmetries of massless particles. It is shown that two of the $SL(2,c)$ spinors are invariant under gauge transformations while the remaining two are not. The Dirac equation contains only the gauge-invariant spinors leading to polarized neutrinos. It is shown that the gauge-dependent $SL(2,c)$ spinor is the origin of the gauge dependence of electromagnetic four-potentials.